Convert cup to cubic fathom

Learn how to convert 1 cup to cubic fathom step by step.

Calculation Breakdown

Set up the equation

1.0 (c u p) = x (c u b i c f a t h o m)

Define the base values of the selected units in relation to the SI unit

(c u b i c m e t e r)

Left side: 1.0 (c u p) = 2.84130625 \times 10^{- 4} (c u b i c m e t e r) = 2.84130625 \times 10^{- 4} (m^{3})

Right side: 1.0 (c u b i c f a t h o m) = 6.116438863872 (c u b i c m e t e r) = 6.116438863872 (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (c u p) = x (c u b i c f a t h o m)

Insert known values =>

1.0 \times 2.84130625 \times 10^{- 4} \times (c u b i c m e t e r) = x \times 6.116438863872 \times (c u b i c m e t e r)

Or

1.0 \cdot 2.84130625 \times 10^{- 4} \cdot (m^{3}) = x \cdot 6.116438863872 \cdot (m^{3})

Cancel SI units

1.0 \times 2.84130625 \times 10^{- 4} \cdot (m^{3}) = x \times 6.116438863872 \times (m^{3})

Conversion Equation

2.84130625 \times 10^{- 4} = x \times 6.116438863872

Switch sides

x \times 6.116438863872 = 2.84130625 \times 10^{- 4}

Isolate

x

Multiply both sides by

(\frac{1.0}{6.116438863872})

x \times 6.116438863872 \times \frac{1.0}{6.116438863872} = 2.84130625 \times 10^{- 4} \times \frac{1.0}{6.116438863872}

Cancel

x \times 6.116438863872 \times \frac{1.0}{6.116438863872} = 2.84130625 \times 10^{- 4} \times \frac{1.0}{6.116438863872}

Simplify

x = \frac{2.84130625 \times 10^{- 4}}{6.116438863872}

Solve

x

x \approx 0.0000464536 \approx 4.6454 \times 10^{- 5}

Conversion Equation

1.0 (c u p) \approx 4.6454 \times 10^{- 5} (c u b i c f a t h o m)

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